1000400441 has 8 divisors (see below), whose sum is σ = 1010413920. Its totient is φ = 990426528.

The previous prime is 1000400431. The next prime is 1000400447. The reversal of 1000400441 is 1440040001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000400441 - 2¹⁰ = 1000399417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000400447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42290 + ... + 61556.

It is an arithmetic number, because the mean of its divisors is an integer number (126301740).

Almost surely, 2^1000400441 is an apocalyptic number.

It is an amenable number.

1000400441 is a deficient number, since it is larger than the sum of its proper divisors (10013479).

1000400441 is a wasteful number, since it uses less digits than its factorization.

1000400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19783.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1000400441 is about 31629.1074961024. The cubic root of 1000400441 is about 1000.1334625203.

Adding to 1000400441 its reverse (1440040001), we get a palindrome (2440440442).

The spelling of 1000400441 in words is "one billion, four hundred thousand, four hundred forty-one".